Pith Number

pith:MRMK62XG

pith:2010:MRMK62XGS4M7R7BTCNZNDEPCBG

not attested not anchored not stored refs pending

The density variance -- Mach number relation in supersonic, isothermal turbulence

Christopher M. Brunt (Exeter), Christoph Federrath (ITA, Daniel J. Price (Monash), ENS, Heidelberg, Lyon)

arxiv:1010.3754 v2 · 2010-10-18 · astro-ph.GA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MRMK62XGS4M7R7BTCNZNDEPCBG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Virial-based extraction of structures in numerical simulations: The vibes tool

Receipt and verification

First computed	2026-05-18T02:05:01.460203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6458af6ae69719f8fc331372d191e209b218171688e12be59b7f3c8448f173d2

Aliases

arxiv: 1010.3754 · arxiv_version: 1010.3754v2 · doi: 10.48550/arxiv.1010.3754 · pith_short_12: MRMK62XGS4M7 · pith_short_16: MRMK62XGS4M7R7BT · pith_short_8: MRMK62XG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MRMK62XGS4M7R7BTCNZNDEPCBG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 6458af6ae69719f8fc331372d191e209b218171688e12be59b7f3c8448f173d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a6db01094ae789c0cbde44fc977641c2273c14d8f34ce75c2d248c4503df3d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.GA",
    "submitted_at": "2010-10-18T22:51:21Z",
    "title_canon_sha256": "e70dd6e58caf663fba058b9364c700935606e59cbd44de83b59bf180c85e903e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3754",
    "kind": "arxiv",
    "version": 2
  }
}